The opening example to this chapter described a physical experiment involving the temperature of a gas under pressure. In this application, we were given P = 1.00 atm, V = 0.100 m3, N = 0.00420 mol, and R = 0.08206. Solving for T in the ideal gas law gives
T = PV/NR = ((1.00)(0.100))/((0.00420)(0.08206)) = 290.15 K = 17◦C.
In the laboratory, it was found that T was 15◦C under these conditions, and when the pressure was doubled and the volume halved, T was 19◦C. Assume that the data are rounded values accurate to the places given, and show that both laboratory figures are within the bounds of accuracy for the ideal gas law.